AP Stats 9.1-9.2 Significance Test

What is a Type I error in hypothesis testing?

• Accepting the null hypothesis when it is false

• Rejecting the null hypothesis when it is true

• Accepting the alternative hypothesis when it is false

• Rejecting the alternative hypothesis when it is true

What is a Type II error?

• Rejecting the null hypothesis when it is true

• Accepting the null hypothesis when it is false

• Rejecting the alternative hypothesis when it is false

• Accepting the alternative hypothesis when it is true

What does the significance level (alpha) represent in hypothesis testing?

• The probability of accepting the null hypothesis when it is true

• The probability of rejecting the null hypothesis when it is false

• The probability of making a Type I error

• The probability of making a Type II error

Which of the following is NOT a step in hypothesis testing?

• State the null and alternative hypotheses

• Calculate the test statistic

• Determine the p-value

• Increase the sample size to ensure the null hypothesis is true

In the context of hypothesis testing, what does p-value indicate?

• The probability of the null hypothesis being true

• The probability of observing the test results under the null hypothesis

• The probability of the alternative hypothesis being true

• The significance level of the test

What is the consequence of setting a very low significance level (alpha) in hypothesis testing?

• It increases the chance of making a Type I error

• It decreases the chance of making a Type I error

• It increases the chance of making a Type II error

• It has no effect on the chances of making errors

What role does the significance level play in hypothesis testing?

• It determines the sample size needed for the test

• It is the threshold for deciding whether to reject the null hypothesis

• It calculates the test statistic

• It increases the accuracy of the test

Tags

CCSS.HSS.IC.B.4

Which of the following is true about the null hypothesis?

• It is the hypothesis that the researcher tries to prove

• It states that there is a significant difference or effect

• It is assumed to be true until evidence suggests otherwise

• It is always based on previous research findings

In hypothesis testing, what does a p-value less than the significance level indicate?

• The null hypothesis should be accepted

• The null hypothesis should be rejected

• The test statistic is not significant

• The sample size is too small

What is the main goal of hypothesis testing?

• To determine the sample size

• To estimate the population parameters

• To make inferences about the population based on sample data

• To calculate the mean of the population

Tags

CCSS.HSS.IC.B.3